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kogti [31]
3 years ago
6

If a boat depreciates in value according to the simple interest formula Y=20,000(.92)^2 find the rate of decay. Write as a perce

ntage.
Mathematics
2 answers:
RUDIKE [14]3 years ago
8 0

Answer:

16%

Step-by-step explanation:

A boat depreciates in value according to the simple interest formula:

Y=20,000*(0.92)^{2} = 16,928

From the above exponential function, we can see that:

The boat depreciates with the base number is: 0.92 and the initial value is 20,000 at the beginning,

So  the rate of decay which can be written as a percentage:  

1 -  The value after 2 units of time / the initial value

= 1- (16,928 / 20,000)

= 1  - 0.84

= 0.16

= 0.16*100% = 16%

zhenek [66]3 years ago
5 0

Answer:

$28,000

Step-by-step explanation:

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Brums [2.3K]

e^{x^2y} - e^y = e^y(e^{x^2} - 1) = x

<em>We should ISOLATE x</em>

<em />e^y= \frac{x}{e^{x^2} - 1}

<em>Find the Natural Log of Both Sides to Make the Left Side "y"</em>

<em />y = ln(\frac{x}{e^{x^2}-1})

<em>Now, FIND THE DERIVATIVE Using Chain Rule!!!</em>

<em />y' = \frac{1}{\frac{x}{e^{x^2}-1}} * \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2}= {\frac{e^{x^2}-1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2} = {\frac{1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)} =  {\frac{1}{x}}* \frac{(e^{x^2}-1 - 2x^2e^{x^2})}{(e^{x^2}-1)}

3 0
3 years ago
Bob's dog needs medication. He told the veterinarian that the dog weighs 30lbs . The medicine is measured as 16mg for each kilog
katrin2010 [14]

Answer:

Bob's dog should be given 216 mg of medicine.

Step-by-step explanation:

Given that:

Weight of dog = 30 lbs

We know that:

1 lb = 0.45 kg

30 lbs = 0.45 * 30 kg

30 lbs = 13.5 kg

Medicine for each kilogram of weight = 16 mg

1 kilogram = 16 mg

13.5 kg = 16 * 13.5 mg

13.5 kg = 216 mg

Hence,

Bob's dog should be given 216 mg of medicine.

7 0
3 years ago
Expand and simplyfy 4(2x+3) +4(3x+2)
Aleonysh [2.5K]

Answer:

x=1 I'm not sure if I'm correct

Step-by-step explanation:

4x2x=8x

4x3=12

4x3x=12x

4x2=8

8x+12=12x+8

8x-12x= 8-12

-4x=-4 divide -4x in both side so the answer should be x=1

4 0
3 years ago
4. An isosceles triangle has sides that measure 7cm and 15cm. Find the third side of the
Advocard [28]

Answer:

Third side is 15cm. Perimeter is 37cm.

Step-by-step explanation:

In a triangle sum of two sides is always greater than third side. Two sides of a isosceles triangle are equal.

So if the third side is 7cm

7+7=14cm which is less than 15 cm.

hence third side is 15 cm as

15+15=30cm which is greater than 7cm

15+7=22cm which is greater than 12cm

then

perimeter=15+7+15=37cm

8 0
3 years ago
HELP ASAPPPP
Nookie1986 [14]

Answer:

y =(v-4)^2 -4

Step-by-step explanation:

vertex form of a parabola is

y = a (v-h)^2 +k

where (h,k) is the vertex

y =a(v-4)^2 +(-4)

y =a(v-4)^2 -4

now substitute another point in to determine a

let's pick 0, 12

12 = a((0-4)^2 -4

add 4 to each side

16 = a * (-4)^2

16 = a*16

divide by 16

a = 1

substitute in what we know

y =1 *(v-4)^2 -4

y =(v-4)^2 -4


5 0
4 years ago
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